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Proof step 6 from proof ran-in-heap-eq (previous step)

ran map = dom H, r ∈ map ⊦ map[r] ∈ H

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ rs = rs0 ↔ (∀ r. (r ∈ rs ↔ r ∈ rs0))

Rule argument

spec:set-basic inst:refset name:Extension seq: ⊦ rs = rs0 ↔ (∀ r. (r ∈ rs ↔ r ∈ rs0)) subst:[rs0, rs] → [dom H, ran map] flags:rewrite

Additional information

[Concretesimprules(()), Extraterms((dom Hran map))]